Question

Use the lattice algorithm to perform each of the following.

a. 3476 + 2795 = ?
b. 5833 + 7689 = ?

Answer 1

The lattice algorithm is a method used to add large numbers. It involves creating a lattice structure and performing multiplication and addition. Using this algorithm, the sums of the given additions are 6271 for a. 3476 + 2795 and 13522 for b. 5833 + 7689.

Step-by-step explanation:

The lattice algorithm is a method used to add large numbers. The steps to perform the addition using the lattice algorithm are as follows:

1. Write the numbers being added vertically on top of each other.
2. Create a lattice structure by drawing horizontal and vertical lines that divide the numbers into their place values.
3. Starting from the rightmost digit, multiply each number in the first row with each number in the second row and write the products in the corresponding lattice cells.
4. Add the numbers in each column of the lattice vertically.
5. Write the resulting numbers from each column below the lattice.
6. If any resulting number is greater than 9, carry over the extra digit to the left column.
7. Add the carried over digits to the next column on the left and continue this process until you reach the leftmost column.
8. The final sum is the resulting numbers written below the lattice.

Using the lattice algorithm, we can calculate the following additions:

a. 3476 + 2795 = 6271

b. 5833 + 7689 = 13522